系統識別號 | U0002-2906201615515300 |
---|---|
DOI | 10.6846/TKU.2016.01031 |
論文名稱(中文) | 正值系統之 H-infinity 控制器設計 |
論文名稱(英文) | H-infinity Controller Synthesis for Positive Systems |
第三語言論文名稱 | |
校院名稱 | 淡江大學 |
系所名稱(中文) | 電機工程學系碩士班 |
系所名稱(英文) | Department of Electrical and Computer Engineering |
外國學位學校名稱 | |
外國學位學院名稱 | |
外國學位研究所名稱 | |
學年度 | 104 |
學期 | 2 |
出版年 | 105 |
研究生(中文) | 潘咨融 |
研究生(英文) | Tzu-Jung Pan |
學號 | 601470247 |
學位類別 | 碩士 |
語言別 | 繁體中文 |
第二語言別 | |
口試日期 | 2016-06-16 |
論文頁數 | 80頁 |
口試委員 |
指導教授
-
周永山
委員 - 容志輝 委員 - 吳政郎 |
關鍵字(中) |
正值系統 輸出回授 降階 結構化控制器 線性矩陣不等式 |
關鍵字(英) |
positive systems output-feedback reduced-order structured controller linear matrix inequality |
第三語言關鍵字 | |
學科別分類 | |
中文摘要 |
本文研究離散時間、線性、非時變正值系統之動態輸出回授H∞控制器設計問題。首先針對輸出矩陣具有特定形式之正值系統,本文推導出以線性矩陣不等式(linear matrix inequality, LMI)與線性不等式組成之充要條件,其甚至適用於控制器為降階與具結構限制的情形。針對更具一般性之正值系統,本文提出相似的充分條件以及兩階段式之設計演算法。另外,更進一步地以類似論點延伸至另一種狀態空間之控制器合成問題。最後,模擬結果證實了本文所提方法是有效的。 |
英文摘要 |
This paper is concerned with the H-infinity dynamic output-feedback stabilization of discrete-time positive linear time-invariant systems. It is first shown that for a class of positive systems whose output matrix has a particular form, necessary and sufficient condition is derived in terms of a set of linear matrix inequality (LMI) and linear inequalities, even if the output feedback controllers are of reduced-order and/or have structural constraints. Analogously, for the more general case, sufficient conditions of similar form are also derived and a two-stage algorithm is developed. Further extension to the synthesis problem in a different state space is also made by similar arguments. Finally, simulation is conducted that establishes the effectiveness of the proposed methods. |
第三語言摘要 | |
論文目次 |
目錄 中文摘要 I ABSTRACT II 目錄 III 圖目錄 V 表目錄 VI 符號說明 VII 第1章 緒論 1 1.1 文獻回顧 1 1.2 研究動機與研究目標 2 1.3 論文架構 3 第2章 背景知識 4 第3章 正值系統之H∞控制器設計Ⅰ 7 3.1 問題敘述 7 3.2 正值系統之H∞控制器設計Ⅰ(情況一) 9 3.2.1 H∞性能設計條件 9 3.2.2 正值特性設計條件 13 3.3 正值系統之H∞控制器設計Ⅰ(情況二) 16 3.3.1 矩陣T1之設計 21 3.4 正值系統之H∞控制器設計Ⅰ(情況三) 26 第4章 正值系統之H∞控制器設計Ⅱ 29 4.1 系統狀態轉換 29 4.2 正值系統之H∞控制器設計Ⅱ(情況一) 32 4.2.1 H∞性能設計條件 32 4.2.2 正值特性設計條件 37 4.3 正值系統之H∞控制器設計Ⅱ(情況二) 40 第5章 模擬結果與討論 47 5.1 萊斯利模型 47 5.2 模擬例子一 49 5.2.1 正值系統之H∞控制器設計Ⅰ 50 5.2.2 正值系統之H∞控制器設計Ⅱ 53 5.3 模擬例子二 54 5.3.1 正值系統之H∞控制器設計Ⅰ 55 5.3.2 正值系統之H∞控制器設計Ⅱ 56 5.4 模擬例子三 57 5.4.1 正值系統之H∞控制器設計Ⅰ 58 5.4.2 正值系統之H∞控制器設計Ⅱ 60 5.5 模擬例子四 61 5.5.1 正值系統之H∞控制器設計Ⅰ 62 5.5.2 正值系統之H∞控制器設計Ⅱ 64 第6章 結論與未來研究方向 67 參考文獻 69 附錄 74 圖目錄 圖3.1 系統架構 7 圖3.2 含有延遲函數F之系統架構 26 圖3.3 廣義受控體P-bar之系統架構 27 圖5.1 閉迴路系統波德圖 51 圖5.2 干擾訊號w(k)時域響應圖 51 圖5.3 狀態x1(k)時域響應圖 52 圖5.4 狀態x2(k)時域響應圖 52 圖5.5 狀態x3(k)時域響應圖 53 表目錄 表1 例子之比較 47 |
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